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Finding the Fourth Proportional to 565.35, 847.78 and 256.62

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Solution

The fourth proportional to 565.35, 847.78 and 256.62 is: 384.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.35 : 847.78 = 256.62 : x
  2. Step 2: Convert to fraction form
    565.35/847.78 = 256.62/x
  3. Step 3: Cross multiply
    565.35x = 847.78 × 256.62
  4. Step 4: Simplify right side
    565.35x = 217,557.30
  5. Step 5: Solve for x
    x = 217,557.30/565.35
  6. Step 6: Final answer
    x = 384.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.